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Finding the Third Proportional to 559,172,192 and 875,264,400

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Solution

The third proportional to 559,172,192 and 875,264,400 is: 1,370,039,105.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,172,192 : 875,264,400 = 875,264,400 : x
  2. Step 2: Convert to fraction form
    559,172,192/875,264,400 = 875,264,400/x
  3. Step 3: Cross multiply
    559,172,192x = 875,264,400 × 875,264,400
  4. Step 4: Simplify right side
    559,172,192x = 766,087,769,907,360,000
  5. Step 5: Solve for x
    x = 766,087,769,907,360,000/559,172,192
  6. Step 6: Final answer
    x = 1,370,039,105.78

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.